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Error Certification on 1D Heat Equation
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0.0002
Certified Error |∂Ω
Neural PDE Solver
-0.000817
-0.000317
0.000183
0.000683
Mar 19, 2026
Certified Error |∂Ω
Certified Error ∂t|∂Ω
Certified Error ε(0, ·)
Residual Bound
Generalization Bound (Prop. 10)
Generalization Bound (Prop. 11)
Reference Error
Updated 1mo ago
Evaluation Results
Method
Method
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Certified Error |∂Ω
Certified Error ∂t|∂Ω
Certified Error ε(0, ·)
Residual Bound
Generalization Bound (Prop. 10)
Generalization Bound (Prop. 11)
Reference Error
Neural PDE Solver
Certification Tool=aut...
2026.03
0.0002
0.0002
0.0003
0.0032
0.0035
0.0075
0.0027
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